LCM for 18 and 82
What's the Least Common Multiple (LCM) of 18 and 82?
(Seven hundred thirty-eight)
Finding LCM for 18 and 82 using GCF's of these numbers
The first method to find LCM for numbers 18 and 82 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 18 and 82 is 2, so
LCM = (18 × 82) ÷ 2
LCM = 1476 ÷ 2
LCM = 738
Finding LCM for 18 and 82 by Listing Multiples
The second method to find LCM for numbers 18 and 82 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 18: 18, 36, 54, 72, 90, 108, 126, 144, 162, 180, 198, 216, 234, 252, 270, 288, 306, 324, 342, 360, 378, 396, 414, 432, 450, 468, 486, 504, 522, 540, 558, 576, 594, 612, 630, 648, 666, 684, 702, 720, 738, 756, 774
Multiples of 82: 82, 164, 246, 328, 410, 492, 574, 656, 738, 820, 902
So the LCM for 18 and 82 is 738
Finding LCM for 18 and 82 by Prime Factorization
Another method to find LCM for numbers 18 and 82 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 18: 2, 3, 3 (exponent form: 21, 32)
All Prime Factors of 82: 2, 41 (exponent form: 21, 411)
21 × 32 × 411 = 738
<a href="https://calculat.io/en/number/least-common-multiple-lcm-of/18--82">What is the LCM of 18 and 82? - Calculatio</a>
LCM Table
| Number 1 | Number 2 | LCM |
|---|---|---|
| 3 | 82 | 246 |
| 4 | 82 | 164 |
| 5 | 82 | 410 |
| 6 | 82 | 246 |
| 7 | 82 | 574 |
| 8 | 82 | 328 |
| 9 | 82 | 738 |
| 10 | 82 | 410 |
| 11 | 82 | 902 |
| 12 | 82 | 492 |
| 13 | 82 | 1066 |
| 14 | 82 | 574 |
| 15 | 82 | 1230 |
| 16 | 82 | 656 |
| 17 | 82 | 1394 |
| 18 | 82 | 738 |
| 19 | 82 | 1558 |
| 20 | 82 | 820 |
| 21 | 82 | 1722 |
| 22 | 82 | 902 |
| 23 | 82 | 1886 |
| 24 | 82 | 984 |
| 25 | 82 | 2050 |
| 26 | 82 | 1066 |
| 27 | 82 | 2214 |
| 28 | 82 | 1148 |
| 29 | 82 | 2378 |
| 30 | 82 | 1230 |
| 31 | 82 | 2542 |
| 32 | 82 | 1312 |
About "Least Common Multiple" Calculator
Least Common Multiple (LCM) also known as the Lowest Common Multiple or Smallest Common Multiple of 2 numbers - it is the smallest positive integer that is divisible by both numbers